# Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem

Special Matrices (2017)

- Volume: 5, Issue: 1, page 123-126
- ISSN: 2300-7451

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topPietro Paparella. "Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem." Special Matrices 5.1 (2017): 123-126. <http://eudml.org/doc/288416>.

@article{PietroPaparella2017,

abstract = {In this note, we simplify the statements of theorems attributed to Cauchy and Ostrovsky and give proofs of each theorem via combinatorial and nonnegative matrix theory. We also show that each simple sufficient condition in each statement is also necessary in its respective case. In addition, we introduce the notion of a spectrally Perron polynomial and pose a problem that appeals to a wide mathematical audience.},

author = {Pietro Paparella},

journal = {Special Matrices},

keywords = {spectrally Perron polynomial; Cauchy Theorem; Ostrovsky Theorem; primitive matrix},

language = {eng},

number = {1},

pages = {123-126},

title = {Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem},

url = {http://eudml.org/doc/288416},

volume = {5},

year = {2017},

}

TY - JOUR

AU - Pietro Paparella

TI - Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem

JO - Special Matrices

PY - 2017

VL - 5

IS - 1

SP - 123

EP - 126

AB - In this note, we simplify the statements of theorems attributed to Cauchy and Ostrovsky and give proofs of each theorem via combinatorial and nonnegative matrix theory. We also show that each simple sufficient condition in each statement is also necessary in its respective case. In addition, we introduce the notion of a spectrally Perron polynomial and pose a problem that appeals to a wide mathematical audience.

LA - eng

KW - spectrally Perron polynomial; Cauchy Theorem; Ostrovsky Theorem; primitive matrix

UR - http://eudml.org/doc/288416

ER -

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